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Are We At A Watershed Moment For The Quantitative Literacy Movement?: Review Of Shifting Context, Stable Core: Advancing Quantitative Literacy In Higher Education, By Luke Tunstall, Gizem Karaali, And Victor Piercey, Eds., Maura Mast

Numeracy

Luke Tunstall, Gizem Karaali, and Victor Piercey, eds. 2019. Shifting Concepts, Stable Core: Advancing Quantitative Literacy in Higher Education. Math Notes 88. (Mathematics Association of America, MAA Press). Print ISBN 978-0-88385-198-2. Electronic ISBN 978-1-61444-324-7.

The thematic approach of the edited MAA Notes volume Shifting Contexts, Stable Core: Advancing Quantitative Literacy in Higher Education is that the “construct” of quantitative literacy is now fairly stable, but the contexts in which quantitative literacy is taught (and practiced) continue to change. Several chapters give the reader much to consider regarding what constitutes the foundation of this stable core and, relatedly, how quantitative …

Parts Of The Whole: Logical Categories Of Learning: Why Teaching Qr Is Hard, Dorothy Wallace

Numeracy

This column introduces the reader to an essay by anthropologist Gregory Bateson on the nature of learning. In that essay, he stratifies the learning process into categories based on what aspect of the student’s understanding is required to change in order to accomplish a given learning task. A discussion of the first three categories is followed here by examples from quantitative reasoning tasks and a further example from the ongoing discussion in the community of what numeracy entails. Bateson’s classification of learning into “logical categories” sheds light on what the goals of numeracy ask of both student and teacher, as …

Review Of Factfulness: Ten Reasons We're Wrong About The World—And Why Things Are Better Than You Think, By Hans Rosling, Anna Rosling Rönnlund, And Ola Rosling., Richard L. Goerwitz Iii

Numeracy

Hans Rosling, Anna Rosling Rönnlund, and Ola Rosling. 2018. Factfulness: Ten Reasons We're Wrong About the World—and Why Things Are Better Than You Think. (New York, NY: Flatiron Books). 352 pp. ISBN 978-1250107817. Also available in audio and e-book formats.

Rosling et al.’s Factfulness is built around a thirteen-question public-health, environment, and population survey that nobody scores well on, not even people who should know better (for example, academics, politicians, diplomats, and business leaders): We all utterly fail to appreciate key ways in which the earth is steadily becoming a better place for people to live. Despite its title, and …

Graphicacy For Numeracy: Review Of Fundamentals Of Data Visualization: A Primer On Making Informative And Compelling Figures By Claus O. Wilke (2019), Christy M. Bebeau

Numeracy

Wilke, Claus O. 2019. Fundamentals of Data Visualization: A Primer on Making Informative and Compelling Figures. (Sebastopol, CA: O’Reilly Media, Inc.). 390 pp. ISBN 978-1-492-03108-6. First edition. First release: 03-15-2019.

Claus O. Wilke has authored an excellent reference about producing and understanding static figures, figures used online, in print, and for presentations. His book is neither a statistics nor programming text, but familiarity with basic statistical concepts is helpful. Written in three parts, the book presents both the math and artistic design aspects of telling a story through figures. Wilke makes extensive use of examples, labels them good, bad, …

Taking Multiple Regression Analysis To Task: A Review Of Mindware: Tools For Smart Thinking, By Richard Nisbett (2015), Jason Makansi

Numeracy

Richard Nisbett. 2015. Mindware: Tools for Smart Thinking.(New York, NY: Farrar, Strauss, and Giroux). 336 pp. ISBN: 9780374536244

Nisbett, a psychologist, may not achieve his stated goal of teaching readers to “effortlessly” extend their common sense when it comes to quantitative analysis applied to everyday issues, but his critique of multiple regression analysis (MRA) in the middle chapters of Mindware is worth attention from, and contemplation by, the QL/QR and Numeracy community. While in at least one other source, Nisbett’s critique has been called a “crusade” against MRA, what he really advocates is that it not be used as …

Decisions, Decisions: Review Of Mindware: Tools For Smart Thinking By Richard E. Nisbett, Anne Kelly

Numeracy

Richard Nisbett. 2015. Mindware: Tools for Smart Thinking. (New York, NY: Farrar, Strauss, and Giroux). 336 pp. ISBN: 9780374536244.

Social psychologist Richard E. Nisbett provides help in identifying and overcoming faulty cognitive strategies and replacing them with more accurate heuristics. To do so, Nisbett draws from statistics, correlation, experiments, differences in Western and Eastern thought, and, especially, social influence.

The Numbers We Need: Review Of Shifting Contexts, Stable Core: Advancing Quantitative Literacy In Higher Education, Edited By Luke Tunstall, Gizem Karaali, And Victor Piercey (2019), John Macinnes

Numeracy

Luke Tunstall, Gizem Karaali, and Victor Piercey, eds. 2019. Shifting Contexts, Stable Core: Advancing Quantitative Literacy in Higher Education. Math Notes 88. (Mathematics Association of America, MAA Press). Print ISBN 978-0-88385-198-2. Electronic ISBN 978-1-61444-324-7.

Mine is a rather UK-centric view. The ability to understand numbers is increasingly vital for citizenship in a world where almost every argument, no matter how bogus, comes with numbers attached. Maths and stats, however, are too important to leave to the mathematicians and statisticians alone. There are as many varieties of application as there are disciplines and interests. Maths faculty are not there to …

Introducing Maa Notes #88: Shifting Contexts, Stable Core: Advancing Quantitative Literacy In Higher Education, Samuel L. Tunstall, Gizem Karaali, Victor Piercey

Numeracy

Tunstall, Samuel, Gizem Karaali, and Victor Piercey, eds. 2019. Shifting Contexts, Stable Core: Advancing Quantitative Literacy in Higher Education (Washington, DC: Mathematical Association of America) 258 pp. ISBN 978-1614443247.

This brief essay introduces readers to Shifting Contexts, Stable Core: Advancing Quantitative Literacy in Higher Education, a new edited volume published by the Mathematical Association of America. We begin by describing the story behind the volume, and then outline its four major parts: "A Bird’s Eye View," "Curriculum for Quantitative Literacy," "Quantitative Literacy in an Institutional Context," and "Perspectives from the Quantitative Literacy Community." We end with an excerpt from …

Quantitative Literacy And The Mathematical Association Of America In The 2000’S: Ql Subcommittee Of Cupm , Sigmaa Ql, And Maa Notes #70, Rick Gillman

Numeracy

This Roots and Seeds article is a partial history of the quantitative literacy movement in the Mathematical Association of America in the first decade of the 21st century. It focuses on the inclusion of QL in the MAA Committee on the Undergraduate Program in Mathematics’ CUPM Curriculum Guidelines (2004), the creation of the special interest group for MAA members (SIGMAA QL, 2004), and the work of that body in subsequent years, in particular, the MAA Notes #70, Current Practices in Quantitative Literacy (2006). I discuss some issues that were problematic in the QL movement in the MAA in those years …

Teaching Demographic Ignorance With The Correcting Misperceptions Exercise: A Replication And Extension Of Previous Research, Daniel Herda

Numeracy

Existing research from the social sciences indicates that misperceptions about immigrants are pervasive in American society and present consequences for intergroup relations. The classroom may be an arena in which to reduce this incorrectness. The current note provides a replication and extension of previous research on the effectiveness of the Correcting Misperceptions Exercise (CME) ─ an in-class demographic guessing game in which students provide their perceptions of some demographic reality and compare it to an objective data source. This analysis builds upon earlier work by 1) considering immigrants as a new demographic category of focus; 2) simultaneously analyzing cardinal misperceptions …

Alignment Between Learning Objectives And Assessments In A Quantitative Literacy Course, Younggon Bae, Samuel L. Tunstall, Kathryn S. Knowles, Rebecca L. Matz

Numeracy

In this analysis, we examine how course assessment items were aligned with learning objectives in a quantitative literacy course at Michigan State University. The alignment analysis consisted of mapping assessment items to a list of operationalized learning objectives from the course. Our analysis shows how often the learning objectives are represented in assessment items, how often they are paired with other learning objectives, and how influential they are in contributing to a student’s course grade. In addition, through comparisons across four assessment types (e.g., exams and homework), we show how each learning objective was assessed differently within each assessment type. …

How Do We Change Statistical And Critical Thinking Attitudes In Young People?, Rhys C. Jones

Numeracy

A quasi-experimental design was used to measure the impacts on student attitudes in statistics, mathematics and critical thinking (16-18 years of age) on a group of students who received a 21-week-long contextualised statistics course (called the Pilot Scheme in Social Analytics), in South Wales. This paper will discuss the development and delivery stages of the course as well as the student recruitment strategies employed. This paper will also discuss the changes in attitudes observed after the course had finished. Results suggest the course did lead to changes in the students’ attitudes becoming more positive with respect to statistics, mathematics, and …

Using Meta-Analysis To Assess Affective Outcomes In A Multi-Course Qr Module Intervention, James Friedrich, Kelley D. Strawn

Numeracy

When quantitative reasoning(QR) interventions share a common hypothesis or goal, a promising approach for evaluation involves integrating separate analyses through the use of meta-analysis. This paper reports an assessment of a module-based QR intervention distributed across 20 courses at a single institution. Topics and participating courses were diverse, including arts & humanities, quantitative behavioral sciences, and natural sciences & mathematics groupings, but all addressed the shared affective goals of reducing student QR self-doubt and increasing appreciation for QR value and utility. With a local framework to guide module development, we assess these outcomes using reliable self-report measures in a pre-post …

Crossing The Final Frontier: Exploring The Numeracy Demands Of Texts Read In English Language Arts, Ellen C. Agnello, Kevin M. Agnello

Numeracy

Incited by the National Assessment of Educational Progress’ 2009 Reading Framework and the Common Core State Standards, recent shifts in national education goals have urged English language arts teachers to make curriculum adjustments. One such adjustment is to shift their focus from fiction, which has traditionally dominated the curriculum, to nonfiction. Doing so has the potential to increase students’ exposure to informational texts which often employ numeric modes to represent quantitative data, thus necessitating numeracy knowledge. This article presents a study of 60 nonfiction texts taught in secondary ELA classrooms. Through analysis of these texts, it addresses the questions: Which …

The Impact Of Calculators On A Test Of Clinician Numeracy: A Randomized Controlled Trial, Anne A. Taylor, Douglas R. Corfield, Lucie M. Byrne-Davis

Numeracy

Clinician numeracy (CN), the ability to use and understand quantitative data in patient care, is an important skill for healthcare professionals. Nonetheless, it is recognized that many healthcare professionals, including doctors, have deficiencies in CN, and that this may affect patient safety. In our previous research using the Medical Interpretation and Numeracy Test (MINT), we found that many doctors in training in the UK had low CN. However, participants were not permitted to use calculators when taking the MINT, even though staff has access to calculators in clinical practice. Therefore, our original study may have underestimated doctors’ CN, compared to …

Keeping It Real: Information Literacy, Numeracy, And Economic Data, Diego Mendez-Carbajo, Charissa O. Jefferson, Katrina L. Stierholz

Numeracy

We describe a pedagogical strategy aimed at developing both quantitative and information literacy skills through a social justice lens. This lesson plan is suitable for a variety of high school and introductory college courses. The student learning goals associated with this pedagogical strategy span three intellectual domains: social justice, through a critical exploration of either the purchasing power of minimum wages across states or the earnings gap between men and women employed full time; numeracy, through the computation of ratios between variables with different rates of growth over time; and information literacy, through a series of activities …

The Ultimatum Game: An Introduction To Quantitative Literacy In A Social Justice Context, Robert G. Root

Numeracy

The Ultimatum Game is a two-person, multiple-strategy game widely used in the experimental social sciences to demonstrate the human propensity for costly punishment in response to inequitable treatment. The game serves to provide quantitative evidence for a diversity of fairness norms across cultures. The play of the game and its interpretation offer nuanced views of the nature and importance of quantitative literacy. Its use in a writing seminar connecting quantitative literacy and social justice is described.

Embedded Remediation Is Not Necessarily A Pathway For Equitable Access To Quantitative Literacy And College Algebra: Results From A Pilot Study, Rebecca L. Matz, Samuel L. Tunstall

Numeracy

Courses in developmental and introductory mathematics are changing. Because nearly all students need mathematics coursework to graduate from a postsecondary institution, yet institutions consistently struggle to ensure that students of all demographics succeed in credit-bearing mathematics courses, student success in such courses may be viewed as an issue of social justice. In particular, there is a need for institutions to provide pathways through college-level mathematics courses that meet the needs of students with a wide array of incoming mathematical knowledge and skills. In light of questions about pedagogy, pass rates, and effects on degree completion time, some institutions have moved …

Paired Measures Of Competence And Confidence Illuminate Impacts Of Privilege On College Students, Rachel M. Watson, Edward Nuhfer, Kali Nicholas Moon, Steven Fleisher, Paul Walter, Karl Wirth, Christopher Cogan, Ami Wangeline, Eric Gaze

Numeracy

We seek to understand how the experiences of groups that differ in gender, ethnicity, and sexual orientation produce college-level educational performances that differ from the experiences of the dominant majority group. We employ two datasets: a National Database of 24,701 participants and a Paired-Measures Database with 3,323 participants. Both datasets provide demographic information, socioeconomic conditions of status as first-generation student, English as a first language, and interest in majoring in science, and competency scores on understanding science as a way of knowing obtained from the Science Literacy Concept Inventory. The Paired-Measures Database includes additional self-assessed competence ratings that enabled quantifying …

Roots And Seeds: Finding Our Place In The Social Practice Nexus That Is Quantitative Literacy, H. L. Vacher, Nathan D. Grawe

Numeracy

The purpose of our new Roots and Seeds feature is to provide an open-access space to archive first-hand accounts of QL activities that have preceded our journal (2008). The first two contributions in the collection appeared last issue: Linda Sons on the making of what has come to be known as the 1994 Sons Report (Mathematics Association of America), and Dorothy Wallace on her path to the Quantitative Literacy Design Team for Mathematics and Democracy (2001), and the questions that bedeviled them then – and us now. In this issue, we get Rick Gillman’s account of how the committee that …

Investigating Levels Of Graphical Comprehension Using The Locus Assessments, Charlotte A. Bolch, Tim Jacobbe

Numeracy

Statistical literacy refers to two interrelated components: people’s ability to interpret and critically evaluate statistical information, and their ability to discuss or communicate their reactions to statistical information. The ability to read and interpret graphical displays is part of statistical literacy because much of the statistical information people encounter in their everyday lives are graphical displays or tables of data. The purpose of this study was to investigate college-level students’ graphical comprehension. Students’ graphical comprehension was assessed using items from the Levels of Conceptual Understanding in Statistics (LOCUS) assessments. Much can be learned about students’ graphical comprehension based on this …

The Sons Report (1989-1994, Mathematical Association Of America): The Way It Was, Linda R. Sons

Numeracy

Recollections and commentary by Linda R. Sons on a 1994 national report entitled Quantitative Reasoning for College Graduates: A Complement to the Standards. Professor Sons chaired the committee which wrote the report and championed its use.

This paper traces the development of the 1994 MAA report Quantitative Reasoning for College Graduates: A Complement to the Standards--a report which is still surprisingly relevant. The paper highlights some major parts of the report, describing the context in which its conclusions were made. Additionally, it challenges and encourages those continuing the quest for QL in the nation by noting progress made …

Three Formative Questions In The Quantitative Literacy Movement, Dorothy Wallace

Numeracy

In this essay we remember early discussions attempting to answer three questions that played a formative role in our understanding of and approach to numeracy, quantitative literacy, and quantitative reasoning: (1) What is numeracy? (2) Should the QL movement promote any specific kind of pedagogy? (3) What organizational structure will best support QL?

As the QL movement has progressed, these three questions continue to be difficult to answer. As a result, they have been useful formative guides for institutions and organizations seeking to improve the quantitative reasoning of students. Now that the quantitative literacy movement has a firmer standing in …

The Second Decade Of Numeracy: Entering The Seas Of Literacy, H. L. Vacher

Numeracy

This multipurpose editorial explores and tries to count the many types of literacy that are referred to by name in Wikipedia and Numeracy. Wikipedia’s Category:Literacy page identifies 44 kinds of literacy that are the subject of articles, ranging from numeracy and graphicacy to braille literacy and diaspora literacy. In addition, searching Google finds more than 30 adjective-literacy or noun-literacy collocations, including quantitative literacy, adult literacy, and document literacy, that do not have Wikipedia pages of their own but are mentioned on other Wikipedia pages. The sum puts this modest literacy count in line with the more than 70 bodies …

Numeracy And Social Justice: A Wide, Deep, And Longstanding Intersection, Kira Hamman, Victor Piercey, Samuel L. Tunstall

Numeracy

We discuss the connection between the numeracy and social justice movements both in historical context and in its modern incarnation. The intersection between numeracy and social justice encompasses a wide variety of disciplines and quantitative topics, but within that variety there are important commonalities. We examine the importance of sound quantitative measures for understanding social issues and the necessity of interdisciplinary collaboration in this work. Particular reference is made to the papers in the first part of the Numeracy special collection on social justice, which appear in this issue.

Mississippi Semester: New Social Justice Approach To Teaching Empirical Reasoning In Context, Premilla Nadasen, Fatima Koli, Alisa B. Rod, David Weiman

Numeracy

Under the direction of Professor Premilla Nadasen at Barnard College, the course “Mississippi Semester,” brings together a small group of undergraduate students in a collaborative action-driven project with Mississippi Low-Income Child-Care Initiative, an advocacy organization of women on welfare and child-care providers, based in Biloxi, MS. Students worked closely with members of Mississippi Low-Income Child-Care Initiative to develop an Economic Security Index for women in Mississippi which the organization will use to educate their constituency and to further their advocacy work.. We have partnered with the Barnard Empirical Reasoning Center to utilize census data and GIS to digitally map the …

Brave Spaces: Augmenting Interdisciplinary Stem Education By Using Quantitative Data Explorations To Engage Conversations On Equity And Social Justice, John R. Jungck, Jon Manon

Numeracy

In workshops and courses involving in-service teachers, participating teachers can engage in problem posing and exploration of difficult issues when they are asked to quantitatively model alternative scenarios, statistically analyze complex data, and visualize these data in multiple formats. Subsequent to these activities, discussions of sensitive issues, some even considered taboo in classrooms, can open up “brave spaces” in these teachers’ classrooms. Without coaching through elaborate facilitation strategies, the in-service teachers grappled openly with the nuances of such difficult issues and raised many alternatives involving quantitative reasoning as well as considering biological, cultural, economic, social, and political factors influencing social …

The Gini Index: A Lens For Analyzing Inequality In An Interdisciplinary College Classroom, Jared Warner, Vivian Lim

Numeracy

The Gini index is one of the most commonly used indicators of income inequality, and its computation and interpretation require a thorough understanding of various quantitative literacy concepts. In this article, we describe a unit for an interdisciplinary quantitative literacy course at a community college that treats concepts of ratio and proportion, percentages, and mathematical modeling through an exploration of income inequality and the Gini index. The broader theme of the interdisciplinary course is immigration, so the unit also invites students to explore connections between the Gini index and immigration. Employing in-class simulations, interactive online applets, and real-world data sets, …

Social Justice, Numeracy, And Teaching Statistics At A Community College, Edward Volchok

Numeracy

The author of this article reflects on the issues of justice, democracy, and numeracy. As one who has taught statistics in a community college for over 12 years, spent 28 years as a Marketing Consultant, and holds a PhD in political science, the author’s thesis is that while an advanced, democratic society can only be just with a numerate citizenry, fostering numeracy is not easy. In this article the author describes the daunting tasks of trying to define what justice is and reviews activities from his statistics class that help students develop their numeracy.

Introducing Information Literacy To Mathematics Classrooms: A Cross-Case Analysis, Ander W. Erickson

Numeracy

This study employs a cross-case analysis to explore the demands and opportunities that arise when information problem-solving tasks are introduced into college mathematics classes. Mathematics teachers at three universities developed and introduced tasks that required students to seek out, evaluate, and synthesize quantitative claims from disparate information sources. The results focus on a comparison of how the teachers balanced content-specific instructional demands with the information literacy goals of the tasks that they created. Three tensions were identified through this analysis: the need to balance mathematical content with opportunities for students to engage in a realistic approximation of the information problem-solving …